Ferroelectric relaxor has very interesting dielectric and electromechanical properties of useful applications, where polar nanodomains play a crucial role. However, the origins of the nano polar domain formations in the cubic perovskite structures are not fully understood although a spin glass analogue model and an extended random field model are in partial success. From our experimental data of electron diffraction and Raman scattering with a ferroelectric relaxor we want to show that the ferroelectric relaxor has a localized flexoelectricity. We will then propose this flexoelectricity may be the origin of the polar nanodomains in the ferroelectic relaxors of cubic symmetry.